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Finding the Fourth Proportional to 70.19, 97.03 and 61.98

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Solution

The fourth proportional to 70.19, 97.03 and 61.98 is: 85.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.19 : 97.03 = 61.98 : x
  2. Step 2: Convert to fraction form
    70.19/97.03 = 61.98/x
  3. Step 3: Cross multiply
    70.19x = 97.03 × 61.98
  4. Step 4: Simplify right side
    70.19x = 6,013.92
  5. Step 5: Solve for x
    x = 6,013.92/70.19
  6. Step 6: Final answer
    x = 85.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.